A time-varying hyperchaotic system and its realization in circuit

A hyperchaotic system is often used to generate secure keys or carrier wave for secure communication and the realistic hyperchaotic circuit often is made of capacitor, nonlinear resistor unit and induction coil. Parameters are often fixed in these hyperchaotic circuits and the hyperchaotic property...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2010-11, Vol.62 (3), p.535-541
Main Authors: Ma, Jun, Li, An-Bang, Pu, Zhong-Sheng, Yang, Li-Jian, Wang, Yuan-Zhi
Format: Article
Language:English
Subjects:
Automotive Engineering
Capacitors
Carrier waves
Chaos theory
Circuits
Classical Mechanics
Control
Dynamical Systems
Electric power
Electric power generation
Engineering
Flat panel displays
Induction coils
Liapunov exponents
Lyapunov exponents
Mechanical Engineering
Nonlinear dynamics
Original Paper
Parameters
Synchronism
Time series
Time synchronization
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A hyperchaotic system is often used to generate secure keys or carrier wave for secure communication and the realistic hyperchaotic circuit often is made of capacitor, nonlinear resistor unit and induction coil. Parameters are often fixed in these hyperchaotic circuits and the hyperchaotic property of the system can be estimated by using a scheme of synchronization and time series analysis. In this paper, a time-varying hyperchaotic system is proposed by introducing changeable electric power source into the circuit; the changeable electric power source is combined with induction coil or capacitor in series to generate changeable output signals to excite the system. The diagrams of improved circuit are illustrated and critical parameters in experimental circuits are presented; the Lyapunov exponent spectrum vs. external applied electric power source is calculated. It is confirmed that the improved circuit always holds two positive Lyapunov exponents when the external electric power source works, and the chaotic attractors are much too different from the original one; thus, a more changeable hyperchaotic system is constructed in experiment.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-010-9739-x